A Finite Element Method to a Periodic Steady-State Problem for an Electromagnetic Field System Using the Space-Time Finite-Element Exterior Calculus-Reference-Cited by-同舟云学术

A Finite Element Method to a Periodic Steady-State Problem for an Electromagnetic Field System Using the Space-Time Finite-Element Exterior Calculus

Published:2024-08-07 Issue: Volume: Page:
ISSN:2096-6385
Container-title:Communications on Applied Mathematics and Computation
language:en
Short-container-title:Commun. Appl. Math. Comput.

Author:

Miyashita Masaru^ORCID,Saito Norikazu

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s42967-024-00399-6.pdf

Reference21 articles.

1. Arnold, D. N.: Finite element exterior calculus. In: CBMS-NSF Regional Conference Series in Applied Mathematics, Vol.93. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA (2018). https://doi.org/10.1137/1.9781611975543.ch1

2. Arnold, D.N., Boffi, D., Bonizzoni, F.: Finite element differential forms on curvilinear cubic meshes and their approximation properties. Numer. Math. 129(1), 1–20 (2015). https://doi.org/10.1007/s00211-014-0631-3.

3. Arnold, D.N., Falk, R.S., Winther, R.: Finite element exterior calculus, homological techniques, and applications. Acta Numer. 15, 1–155 (2006). https://doi.org/10.1017/S0962492906210018

4. Arnold, D. N., Falk, R. S., Winther, R.: Finite element exterior calculus: from Hodge theory to numerical stability. Bull. Am. Math. Soc. (N.S.) 47(2) 281–354 (2010). https://doi.org/10.1090/S0273-0979-10-01278-4

5. Arrow, K. J., Azawa, H., Hurwicz, L., Uzawa, H.: Studies in linear and non-linear programming. In: Stanford Mathematical Studies in the Social Sciences, Vol. 2. Stanford University Press , Stanford, Calif. (1958)